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Simplifying -2(3x + 4y) + 2(4x + -3y) = 0 (3x * -2 + 4y * -2) + 2(4x + -3y) = 0 (-6x + -8y) + 2(4x + -3y) = 0 -6x + -8y + (4x * 2 + -3y * 2) = 0 -6x + -8y + (8x + -6y) = 0 Reorder the terms: -6x + 8x + -8y + -6y = 0 Combine like terms: -6x + 8x = 2x 2x + -8y + -6y = 0 Combine like terms: -8y + -6y = -14y 2x + -14y = 0 Solving 2x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 2x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 2x + 0 = 0 + 14y 2x = 0 + 14y Remove the zero: 2x = 14y Divide each side by '2'. x = 7y Simplifying x = 7y
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